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Finding the Fourth Proportional to 1,234.02, 1,702.96 and 709.94

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Solution

The fourth proportional to 1,234.02, 1,702.96 and 709.94 is: 979.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.02 : 1,702.96 = 709.94 : x
  2. Step 2: Convert to fraction form
    1,234.02/1,702.96 = 709.94/x
  3. Step 3: Cross multiply
    1,234.02x = 1,702.96 × 709.94
  4. Step 4: Simplify right side
    1,234.02x = 1,208,999.42
  5. Step 5: Solve for x
    x = 1,208,999.42/1,234.02
  6. Step 6: Final answer
    x = 979.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.